A fix for soft-rebooting phones and tablets is on its way, possibly in iOS 7.1.

From ArsTechnica:

If you've been experiencing random crashes on your iPhone or iPad since you updated to iOS 7, you're apparently not alone. Apple is aware of a bug that randomly reboots iOS 7 devices, and the company has told Mashable that the problem will be fixed "in an upcoming software update."

We've experienced this problem a few times on our various iOS 7 devices, though there doesn't seem to be any repeatable set of steps that consistently makes them crash. When they do crash, the devices reboot and you are temporarily kicked to the same Apple logo splash screen you see when you power your phone or tablet.